The tight-lipped Clinton campaign has given few clues, though the former secretary of state did say in an interview with MSNBC's Rachel Maddow earlier this year that her cabinet would be at least half composed of women. "I am going to have a cabinet that looks like America, and 50% of America is women, right?" she said. That doesn't quite narrow it down.

Bernie Sanders said in a June interview that he wouldn't mind having a position in Clinton's administration -- and there is speculation that Clinton will need Sanders by her side. But that still leaves many posts left to fill. Where will her advisers come from?

A number of names from the public sector have already been floated as potential Clinton cabinet picks -- Tom Perez, Michèle Flournoy and Terry McAuliffe, for example. And close Clinton allies like long-time associate Cheryl Mills and Clinton campaign National Spokesman Brian Fallon have been in the mix as well.

But the former first lady, who herself has held board positions at Walmart (WMT) , TCBY and Lafarge, could find cabinet members in the private sector as well. And if she does go that route, here are seven executives who could be a good fit for the Clinton administration. These names were drawn from already available public speculation as well as conversations with former Clinton advisers who are familiar with the candidate's thinking.

1. Sheryl Sandberg

Sheryl Sandberg currently has her hands full as COO of Facebook (FB) , but Clinton could come calling.

There is considerable speculation that Sandberg could be a candidate for Secretary of Treasury, Politico reported earlier this month. Sandberg served as chief of staff for Larry Summers during his tenure as Treasury Secretary under President Bill Clinton's administration, where she helped to lead the department's work on forgiving debt in the developing world.

Sandberg's appointment would also be historic, as she would be the first woman Treasury secretary. While historic for the country, it might be bad for investors in Facebook, as TheStreet's Jim Cramer pointed out on Twitter.

$FB--Sheryl rumored to be going to State OR Treasury if Clinton elected. Could be pressuring stock

General Electric (GE) CEO Jeff Immelt has historically leaned right politically, but he has demonstrated interest in working with the left, too.

The executive was appointed as a member of President Obama's Economic Recovery Advisory Board in 2009 and was later tapped to helm the board, renamed the President's Council on Jobs and Competitiveness, in 2011. At the time, Obama said Immelt "understands what it takes for America to compete in the global economy."

Tom Nides returned toMorgan Stanley (MS) in 2013 after service as Deputy Secretary of State for Management and Resources under the Obama administration since January 2011. And under Clinton, he could be tempted to make the jump back to Washington.

Whitman has expressed interest in a life in politics in the past. She ran for governor of California in 2010 and self-funded much of her campaign, eventually losing to Governor Jerry Brown by a wide margin. In 2012, Mitt Romney spoke of the idea of Whitman as a potential member of his cabinet, but she downplayed the buzz.

An Hewlett Packard Enterprise representative declined to comment.

5. Reid Hoffman

LinkedIn (LNKD) cofounder and executive chairman Reid Hoffman is a major Democratic Party supporter and donor.

He gave $1 million to Priorities USA Action, a super PAC now backing Clinton that previously supported President Obama, in 2012. In 2014, he gave $1 million to MayDay PAC, a super PAC that aims to curb the influence of money in politics. This election cycle, he has donated the maximum amount for individual contributions to a political campaign, $2,700, to Clinton and, like Sandberg, is among the group of business executives to endorse her.

Hoffman has a wide breadth of experience in entrepreneurship, venture capital and the boardroom, having been involved many big-name tech companies, including PayPal (PYPL) and Airbnb. He is also listed as a cofounder of Mark Zuckerberg's pro-immigration lobbying group FWD.us.

Representatives for Hoffman have not yet replied to request for comment.

Head of the Motion Picture Association of America (MPAA) since 2011, Chris Dodd is Connecticut's longest-serving Senator, holding the post for 30 years. He chaired the Senate Banking Committee during the financial crisis and was involved in the authoring of Obamacare. He also worked on the Family and Medical Leave Act under President Bill Clinton in 1993 and was a senior member of the Senate Foreign Relations Committee.

Dodd has, in the past, demonstrated presidential aspirations of his own, making a bid for the White House in 2008 and dropping out after the Iowa caucuses. He could be a good fit for a number of cabinet positions, including Secretary of State, of Treasury and of Health and Human Services.

While on Wall Street, Wolf was considered one of President Obama's top supporters and fundraisers, and he reportedly met with Vice President Joe Biden while he was considering his own presidential bid. He donated to the Clinton campaign last year.

Under the Obama administration, he has served in a number of capacities, on the Economic Recovery Advisory Board, the Homeland Security Border Infrastructure Task Force and the Export Council. Apart from his work at 32 Advisors, Wolf is also the chairman of a drone startup Measure. Given that experience, perhaps he would make a good Secretary of Transportation under Clinton.

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